Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
Answer:
D) Quadratic
Step-by-step explanation:
A function is graphed on a coordinate grid.
- As the domain values approach infinity, the range values approach infinity.
Domain: If 
then
Range: 
- As the domain values negative infinity, the range values approach infinity.
Domain: If 
then
Range:
We need to choose correct option which follows given domain and range.
Only quadratic function will follow the rule because it has even degree polynomial.
Quadratic function: 
Degree = 2 and leading coefficient is positive.
Domain: 
Range: 
Hence, D is correct option.
Answer:
{x | x∈ R, x < 2}
Step-by-step explanation:
Given
Open circle on 2
Arrow pointing left
Required
Determine the inequality
An open circle on 2 means represents either < or >
The arrow points to the left of -2 means that the number line represents numbers less than 2. i.e. < 2
Represent the numbers with x.
The inequality is: x < -2
Using proper notation, the inequality is: {x | x∈ R, x < 2}
